Birth days During a 2-month period, 72 babies wereborn at the Tompkins Community Hospital in upstateNew York. The table shows how many babies were bornon each day of the week.a) If births are uniformly distributed across all days ofthe week, how many would you expect on each day?b) Test the hypothesis that babies are equally likely to beborn on any of the days of the week.c) Given the results of part b, do you think that the7 births on Monday and 17 births on Tuesday indicatethat women might be less likely to give birth onMonday, or more likely to give birth on Tuesday?d) Can you think of any reasons why births may notoccur completely at random? Day BirthsMon. 7Tues. 17Wed. 8Thurs. 12Fri. 9Sat. 10Sun. 9
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Birth days During a 2-month period, 72 babies were
born at the Tompkins Community Hospital in upstate
New York. The table shows how many babies were born
on each day of the week.a) If births are uniformly distributed across all days of
the week, how many would you expect on each day?
b) Test the hypothesis that babies are equally likely to be
born on any of the days of the week.
c) Given the results of part b, do you think that the
7 births on Monday and 17 births on Tuesday indicate
that women might be less likely to give birth on
Monday, or more likely to give birth on Tuesday?
d) Can you think of any reasons why births may not
occur completely at random?
Day Births
Mon. 7
Tues. 17
Wed. 8
Thurs. 12
Fri. 9
Sat. 10
Sun. 9
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